2. Basics of Mathematics

Module Name:

Module 2: Basics of Mathematics

Code

M2EPE(Ba)

Module Elements:

Compulsory Subjects

Mathematics 1

Mathematics 2

Semester Number:

1, 2

Person responsible for the module

K.I. Darbayeva

Lecturer:

Mathematics 1 - K.I. Darbayeva

Mathematics 2 - K.I. Darbayeva

Language:

Russian, Kazakh

Curriculum relation:

Electrical Power Engineering (Ba)

Type of teaching  / number of hours per week and per semester :

1 semester: hours per week – 6 (lectures -1; workshops -2; independent work -3);

hours per semester – 90.

2 semester: hours per week – 8 (lectures -1; workshops -1; labs-1; independent work -5);

hours per semester – 120.

Workload:

Teaching Load: 90 hours

Extracurricular Classes: 120 hours

Total: 210 hours

Credit Points:

7 ECTS

Conditions for Examinations:

For admission to the exam, the student must score at least 50 points out of 100 available for each subject of the module

Recommended Conditions:

This module is based on the knowledge gained by students in high school in the courses of Algebra and Pre-calculus, and Geometry

Expected Learning Outcomes:

Know the course of Higher Mathematics.

Be able to apply modern mathematical methods to solve applied problems. 

Possess the skills to solve engineering problems using mathematical methods. 

Demonstrate the ability to perform calculations and justification of technical solutions adopted during the development. 

Intendend use/applicability

Modules: Electrical Engineering, Industrial Electronics, Electrical Machinery, Electric Power Plants  and Substations, Basics of Equipment Operation, Technical Equipment of Power Facilities, Power Systems and Networks 

Content:

Mathematics 1

Elements of linear algebra and analytic geometry. Basic concepts of mathematical analysis. Differential calculus of a function of one variable and its application to the study of functions. Elements of linear algebra and analytic geometry.

Mathematics 2

Introduction to mathematical analysis. Differential calculus of a function of one variable and its applications. Integral calculus of a function of one variable and its applications. Differential calculus of a function of many variables. Multiple integrals and their applications. Theory of series. Differential equations. Elements of probability theory and mathematical statistics.

Examination Form, module mark:

Comprehensive examination including:

Mathematics 1 – written examination

Mathematics 2 – computer-based testing

Module mark: the result of the exam Mathematics 2

Technical/Multimedia Facilities:

Multimedia system, IT room with Internet access, internal educational network of the University.

Study Materials:

1. D. T. Pismenniy. Abstract of Lectures on Higher Mathematics. Part 1. M.: Ayris Press, 2004

2. K. I. Lungu, D. T. Pismenniy. Collection of Tests in Higher Mathematics. Part 1. Moscow. Ayris Press, 2001.

3. P. Y. Danko, A. G. Popov. Higher Mathematics in Exercises and Problems. Part 1. Moscow: Vysshaya Shkola, 2002.

4. Y. S. Bugrov, S. M. Nikolskiy. Elements of Linear Algebra and Analytic Geometry. Moscow. Nauka. 2000.

5. P. Y. Danko, A. G. Popov, T.Y. Kozhevnikova. Higher Mathematics in Exercises and Problems. Part 2. Moscow: Vysshaya Shkola, 2006.

6. Demidovich. Collection of Problems in Mathematical Analysis for Technical Colleges. M.: Vysshaya Shkola, 2001.

7. L. A. Kuznetsov. Collection of Problems in Higher Mathematics. – Moscow: Vysshaya Shkola, 2006.

8. Y. S. Mironenko. Higher Mathematics (Methodical Instructions and Control Tasks). M.: Vysshaya Shkola, 2002.

Date of last amendment

26.01.2023